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MAA AMC
AMC 10
2016 AMC 10
8
Tens Digit
Tens Digit
Source: AMC 10B 2016 #8
February 21, 2016
AMC
AMC 10
AMC 10 B
Problem Statement
What is the tens digit of
201
5
2016
−
2017
?
2015^{2016}-2017?
201
5
2016
−
2017
?
<
s
p
a
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c
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a
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′
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a
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x
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b
o
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>
(
A
)
<
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0
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(
B
)
<
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1
<
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(
C
)
<
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3
<
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a
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x
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b
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>
(
D
)
<
/
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>
5
<
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(
E
)
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8
<span class='latex-bold'>(A)</span>\ 0 \qquad <span class='latex-bold'>(B)</span>\ 1 \qquad <span class='latex-bold'>(C)</span>\ 3 \qquad <span class='latex-bold'>(D)</span>\ 5 \qquad <span class='latex-bold'>(E)</span>\ 8
<
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p
an
c
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l
a
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x
−
b
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(
A
)
<
/
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p
an
>
0
<
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p
an
c
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a
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′
l
a
t
e
x
−
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>
(
B
)
<
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1
<
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c
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a
ss
=
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a
t
e
x
−
b
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′
>
(
C
)
<
/
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an
>
3
<
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p
an
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a
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l
a
t
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x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
5
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
8
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